<!DOCTYPE html>
<html lang="en-US">
<!--********************************************-->
<!--*       Generated from PreTeXt source      *-->
<!--*                                          *-->
<!--*         https://pretextbook.org          *-->
<!--*                                          *-->
<!--********************************************-->
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta name="robots" content="noindex, nofollow">
</head>
<body class="ignore-math">
<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Generally, for (<a href="" class="xref" data-knowl="./knowl/eq7_7.html" title="Equation 6.2.1">(6.2.1)</a>), if <span class="process-math">\({\bf A}\)</span> is arbitrary <span class="process-math">\(n \times n\)</span> constant coefficient matrix. Then there are three possibilities:(1) All eigenvalues are real and distinct.(2) Some eigenvalues occur in complex conjugate pairs.(3) Some eigenvalues are repeated.For case (1), there are <span class="process-math">\(n\)</span> linear independent eigenvectors. Case (2) and (3) will be considered in the next two sections.</p>
<span class="incontext"><a href="sec6_2.html#p-262" class="internal">in-context</a></span>
</body>
</html>
